724,345

5 × 317 × 457

For 724,345, the 8 positive divisors have a total of 873,864. Removing 724,345 leaves 149,519, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 317 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 873,864

Proper Divisor Sum 149,519

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #724331 ← → #724393

Radix Representation

Decimal	724345
Binary	10110000110101111001 (20 bits)
Octal	0o2606571
Hexadecimal	0xB0D79

Divisor Catalog (8)

1 5 317 457 1,585 2,285 144,869 724,345

Collatz Trajectory (198 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

724,345 2,173,036 1,086,518 543,259 1,629,778 814,889 2,444,668 1,222,334 611,167 1,833,502 916,751 2,750,254 1,375,127 4,125,382 2,062,691 6,188,074 3,094,037 9,282,112 4,641,056 2,320,528 1,160,264 580,132 290,066 145,033 435,100 217,550 108,775 326,326 163,163 489,490 244,745 734,236 367,118 183,559 550,678 275,339 826,018 413,009 1,239,028 619,514 309,757 929,272 464,636 232,318 116,159 348,478 174,239 522,718 261,359 784,078 392,039 1,176,118 588,059 1,764,178 882,089 2,646,268 1,323,134 661,567 1,984,702 992,351

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